Tracial central states on compact quantum groups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908294782648320 |
|---|---|
| author | Freslon, Amaury Skalski, Adam Wang, Simeng |
| author_facet | Freslon, Amaury Skalski, Adam Wang, Simeng |
| contents | Motivated by classical investigation of conjugation invariant positive-definite functions on discrete groups, we study tracial central states on universal C*-algebras associated with compact quantum groups, where centrality is understood in the sense of invariance under the adjoint action. We fully classify such states on q-deformations of compact Lie groups, on free orthogonal quantum groups, quantum permutation groups and on quantum hyperoctahedral groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tracial central states on compact quantum groups Freslon, Amaury Skalski, Adam Wang, Simeng Operator Algebras Quantum Algebra Primary 20G42, Secondary 46L55, 46L67 Motivated by classical investigation of conjugation invariant positive-definite functions on discrete groups, we study tracial central states on universal C*-algebras associated with compact quantum groups, where centrality is understood in the sense of invariance under the adjoint action. We fully classify such states on q-deformations of compact Lie groups, on free orthogonal quantum groups, quantum permutation groups and on quantum hyperoctahedral groups. |
| title | Tracial central states on compact quantum groups |
| topic | Operator Algebras Quantum Algebra Primary 20G42, Secondary 46L55, 46L67 |
| url | https://arxiv.org/abs/2407.19314 |